The time for one cycle of a periodic process is called the7n uvhu h f:qsk:x:/gcw+ne08

  For a periodic process, the number of cycles per unit time i*oy4 )v4cc9 lrmft /kbptf 0+qs called the

  For vibrational motion, the maximum displacement from th-3(q s:.pbn c n,hisfwe equilibrium point is callednfiqs,3:- c( bp s.nwh the

  A mass on a spring undergoes SHM. When the mass itfik 7d 9qp4fk *a w25ndfs5x)s at its maximum displacement from equilibrium, its instantanei xf49tpd) 2 5nwqkd*f a7s5fkous velocity

  A mass on a spring undergoes p70yy 0+ ip +mqgnrr6gi) s0ttSHM. When the mass passes through the equilibrium position, its instant t06tp)+0yg +rrsqp07 gimnyianeous velocity

  A mass on a spring undergoes SHM. When the yn5e. j;*lqf cmass is at maximum displacement from equilibrium, its instantaneous ayje. c*;5 lnfqcceleration

  A mass is attached to a vertical spring and bobs up and4y() fl2gq4 ae3mrma v down between points A and B. Wheqae4mgy( lr)2fm3v 4are is the mass located when its kinetic energy is a minimum?

  A mass is attached to a vertical spring and bobs up and down between points A a*j.jh8 h1on,kdnm 5xdnd B. Where is the mass located when its ki n5*jjndmh.ok 8xd,h 1netic energy is a maximum?

  A mass is attached to a vertical spring and bobs up and down between e sr7wd*eh/+cpoints A and B. Where is the mass located when ihse7r/ *e d+wcts potential energy is a minimum?

  A mass is attached to a vertical spring and bob pbyg kp8*;rna5u;td+s up and down between points A and B. Where is the mass located whe*p8ty5 ;ngku;+rpa bdn its potential energy is a maximum?

  Doubling only the amplitude of a v/q5bmtr rk-nwm- t a3bt7q 57sibrating mass-and-spring system produces what effect on the system's mecw3t r-mb tr 5k7qs bmnt/5q-a7hanical energy?

  Doubling only the mass of a vibrating4xg3w6 xnn 8mc mass-and-spring system produces what effect on the system's n 8x6cg43 nwmxmechanical energy?

  Doubling only the spring constant of a vibratq w 8t ;ds*;ukoqnez6uc(ha/ -ing mass-and-spring system produces what effect on the system's mechanical energy ;*qe6saqk t/od w;u8zc(nu-h?

  A mass oscillates on the end of a spring, both on Ear1hscgc / 0qs4cth and on the Moon. Where is the period thecs/sch1q0g4c greatest?

  Increasing the spring constant k of a mass-and-spring system c d;m 7a+4vdxtxauses what kind of change in the resonant frequency of the system? (Assume no change in the4a xdt;mvd+7x system's mass m.)

  Increasing the mass M of a mass-and-spring system nz)zzj:3bmo :v2r8f jcauses what kind of change in the res2 zf:n8obv)jz: r mjz3onant frequency of the system? (Assume no change in the system's spring constant k.)

  Increasing the amplitudjqd sb;cj:v/*e of a mass-and-spring system causes what kind of change in the reson:cjb*;/qv sd jant frequency of the system? (Assume no other changes in the system.)

  A mass $m$ hanging on a spring has a natural frequency f. If the mass is increased to $4m$, what is the new natural frequency?

  A simple pendulum con pue:u)8 cl+ersists of a mass M attached to a weightless string of length L. For this sru)ulp + :8eecystem, when undergoing small oscillations

  When the mass of a simple pendulum is tripled, the time requirez(.i1wm l hl1 ib-f5fxnd3dl) d for one complete vibrat3fhdwl .dib5f )- 1nzil1m(lxion

  Both pendulum A and B are 3.0 m long. The peri3(o gqdnhb ml 3x- atf) asba4r (;krxqv7/-d)od of A is T. Pendulum A is twice as heavy as pendulum B. Wha;t)3/ox43s7a(q kvmxa(dd q nbrfh-) g-b lart is the period of B?

  When the length of a simple pendulum is tripled, the gc0exa k1(4em time for one complete vibration incre4m ke01 a(gcxeases by a factor of

  What happens to a simplmx /k , .fmlw9kjv02ehe pendulum's frequency if both its length and mass are increas2jk./wm m lh0xv9ef,ked?

  Simple pendulum A swings back and forth at twice the freque-sxqj, a*q**bcp t0oy3mg -dyncy of simple pendulum B. Whic0qx*,js-c3ab* tqy- y*omp gdh statement is correct?

  If you take a given pendulum to the Moon, where the acceleration of gravitbh20 6suli6mpxck vy0tyn )3f s0,srb+:/ nkmy is less than on Earth, the resonant frequency of6+n pmn3) r sxslcbmykk0fsu26 th/:0ib,y0v the pendulum will

  Curve A in Fig. 11-1 *m6kkl, u 1idurepresents

  Curve B in Fig. 11-1 represeucrpq2jkif:a7x4y e 6 +vcz/,nts

  Curve C in Fig. 11-1 repry, crngy:ek g, c68)deesents

  For a forced vibration, the amplitude of vibration is found to depend on s79zq1cko/a ewjtr(4the

  In a wave, the maximum displacement of points oa zh /m83hqb)sf the wave from equilibrium is calledhb qsz)m8h/3a the wave's

  The distance between successiv p39y:.urcfx d2 bbg o.)bwea1b c*s;qe crests on a wave is called the wave's

  The number of crests of a wave passing a p1 lmkda lg -py8y4 qn-:wqq/a+oint per unit time is called the wave'sn -qw y4/paqga-+ml yqd8kl1:

  For a wave, the frequency ti,g nhf:1;,v gwuoh+mba hyw-5 mes the wavelength is the wave's

  The frequency of a wave increases. What happens to the die) 5+5emki9yr/he;r dbkl.azstance between successive crests if the speed remains ble5k+ )drrm;e a yizhk/5e9. constant?

  A wave moves on a string with waveaz-4 b8 nw7w ziv2.kdllength l and frequency f. A second wave on the same stringzd4l .nbiw-2kzv8w a 7 has wavelength 2l and travels with the same velocity. What is the frequency of the second wave?

  Consider a traveling wave onvh,h6s,no 4y3cio 4qwpvqe,xet1g *( a string of length L, mass M, and tension T. A standing wave is set up. Which of thxqn q*gc31(e6,vioe hso p4, v ht,4wye following is true?

  A string of mass m andbjhsox,( hm4xmqh q;)br o4. 4 length L is under tension T. The speed of a wave in the string is v. What will be the speed of a wave i.b) 4,mb4 hj(4qq h;ohrmosxxn the string if the mass of the string is increased to 2m, with no change in length?

  A string of mass m and length L is under tension T. The speqm64g tgu3; zqed of a wave in the string is v. What will be gq 6q3 mgzu;t4the speed of a wave in the string if the length is increased to 2L, with no change in mass?

  A string of mass m and length L is under tension T. The speed of a way vp4rai*h,8 grwo +rh*a/d/sve in the string is v. What will be the spe*/dwvy*psoahirr rh /, a4+g 8ed of a wave in the string if the tension is increased to 2T?

  In seismology, the S wave is a transver cjxqc7p xm3 ,9edit**se wave. As an S wave travels through the Earth, the relative x*7iexdc, p9t *q j3mcmotion between the S wave and the particles is

  In seismology, the P wave is a longitudinal wave. As a P wavez* 5t9wgc+(rdqadxk)8lgt a, travels through the Earth, the relative motion between theq+9cz),d(w8r* gak g5aldtxt P wave and the particles is

  The intensity of a wavebp. 8a:u in5t.ms3xsmq3 ) fovj3cj7z is

  A wave pulse traveling toag7e bsjohzs8fq6s4 f;7g5 b9 the right along a thin cord reaches a discontinuity where the rope becoj5qhb77 a4 9sggsbe z8 6o;ffsmes thicker and heavier. What is the orientation of the reflected and transmitted pulses?

  Two wave pulses with equal positive amplitudes pass ea 1vrinou) 6g+gch other on a string, one is traveling toward the right and the other toward 16ng+ir uogv) the left. At the point that they occupy the same region of space at the same time

  Two wave pulses pass each other on a string. The one traveling towa: r2yn(ib:7d (i-v;etxew (j upiuq7grd the right has a positive amplitude, while the one traveling toward the left has an equal amplitude in the negative direction. At the point that they occupy the same reu( ie-:; gvir( d2 :ju7xp7wy qntie(bgion of space at the same time

  Resonance in a system, such as a string fixed a1ayw p5a/.)xduc/dh s34k sg jt both ends, occurs when

  If one doubles the tension in 9+yaeumcy36 n*. q/hl6dxgy la violin string, the fundamental frequency of that string will inc 3a cn h*6xqy+yy/mu.del9l 6grease by a factor of

  What is the spring constant of a spring that stretches rupfb0smvwr1 3e 51 j/2.00 cm when a mass of 0.600 kg is suspen 0s1/vjpmw 5ber1ruf3ded from it?

  A mass is attached to 6s9ibzj2jc7yl5 tx k ;a spring of spring constant 60 N/m along a horizontal, frictionless surface. The spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscic6sk2jj z9;xtlyi57b llating. What is the amplitude?

  A mass is attached to a spring of spring constant 60 N/m along a hor;1j /f cleqw1yizontal, frictionless surface. 1je l/y1 c;qwfThe spring is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the period of oscillation?

  A mass is attached to a spring of spring constanoiya y p2p:vkfq ap4+;,usr;-t 60 N/m along a horizontal, frictionless surface. The spri+p4;va,k:paqy pf 2iu -o ;rsyng is initially stretched by a force of 5.0 N on the mass and let go. It takes the mass 0.50 s to go back to its equilibrium position when it is oscillating. What is the frequency of oscillation?

  A mass on a spring undergoes SHM. It goes through 10 comp8,6wu c) gaooqlete oscillations in 5.0 s. What i oc8)a, guq6ows the period?

  A mass vibrates back and forth from the free end of an ideal spring of sx8oz6;ni apo e/c(po -pring constzx6on(c;eo p-8 opai/ant 20 N/m with an amplitude of 0.30 m. What is the kinetic energy of this vibrating mass when it is 0.30 m from its equilibrium position?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/m along 6ixt3j9lrx r; bg6 sput1k26na horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. What is the total energy l;j621r6 st irtukg 3 xnbx69pof the system?

  A mass undergoes SHM with amplitud4)w-kh-foat (o/zs2/x npqqzko 70ec e of 4 cm. The energy is 8.0 J at this time. The mass is cut in half, and the z/knw4ehqa o fcszt2)/0oo(p x- qk7- system is again set in motion with amplitude 4.0 cm. What is the energy of the system now?

  A 0.50-kg mass is attached to a spring of spring constant 20 N/mkmh0 a*rkf/7opfp9p 5hv6m e; along a horizontal, frictionless surface. The object oscillates in simple harmonic motion and has a speed of 1.5 m/s at the equilibrium poshf/p 5; 6om0fk 9arekv*7p hmpition. What is the amplitude of vibration?

  A 0.50-kg mass is attached to a spring t w( elh30hn)sof spring constant 20 N/m along a horizontal, frictionless surface. The object oscillates in si lts(hwhen30)mple harmonic motion and has a speed of 1.5 m/s at the equilibrium position. At what location are the kinetic energy and the potential energy the same?

  A 2.0-kg mass is attached to the end of a horifo k(qu/ 9 tob,q9b9fszontal spring of spring constant 50 N/m and set into simple harmonic motion with an ampli qfbf(u/, 9 kqst9ob9otude of 0.10 m. What is the total mechanical energy of this system?

  A 2.0-kg mass is att87kzjal/ld-b ached to the end of a horizontal spring of spring constant 50 N/m and set into simple harmonic motion with an amplitude of 0.10ab /8-djllz k7 m. What is the total mechanical energy of this system?

  A mass vibrates back and forth from the free end of aug c aig81q3 5wyl7xvc/ p7*men ideal spring of spring constant 20.0 N/m with an amplitude of 0.250 m. What is the maximum kinetic energy of this vibrating masslcg8u5gmeva/3 1wx *yc 7piq7 ?

  The mass of a mass-and-spring system is displaced 10 cm from its er g(gw9u b,od*w:u-isquilibrium position and released. A frequency of 4.0 Hz is observed. What frequency would be observed if the mass hau-ig (u,o:w 9g rbswd*d been displaced only 5.0 cm and then released?

  A 4.0-kg object is attached to a spring of spring constant 10 N/m. Thevvdw krv-2-rtojf.ldu o15 +5 object is displaced ft-k5 j du v-r.vl5w21vrod+o by
5.1 cm from the equilibrium position and let go. What is the period of vibration?

  A 4.0-kg object is attached to a spring of 3b)kz:)guzmqmm .ra d) 6l4ggspring constant 10 N/m. The object is disp:mg q)a4ml3bu)z )g6 dkmz.rg laced by
5.1 cm from the equilibrium position and let go. What is the frequency of vibration?

  A 2.0-kg mass is hung from a spring of spring constant 18 N/m, displaced sli:hff oki/: kt9ghtly from its equilibrium position, and released. What is the frequt :9ik /kf:hofency of its vibration?

  A mass is attached to a sprid/xhima;qb j+73s0iwng. It oscillates at a frequency of 1.27 Hz when displaced a distance of 7xi0 i m3;h/asqw+b dj2.0 cm from equilibrium and released. What is the maximum velocity attained by the mass?

  Two masses, A and B,0ypz ;mucsp ti)k75 wl*t/-le vez5r* are attached to different springs. Mass A vibrates with amplitude of 8.0 cm at a frequency of 10 Hz and mass B vibrates with amplitude of 5.0 cm at a frequency of 16 Hz. Howk0mwsl ;eli**p/5vtr5p zu -e tc 7)zy does the maximum speed of A compare to the maximum speed of B?

  A 0.30-kg mass is suspendxk1l4j:fg2rmbfdi v)er5x3 -ed on a spring. In equilibrium the mass stretches the spring 2.0 cm downward. The mass is then pulled an additional distance of 1.0 cm down and released from rest.xivf m: jrg2)ble-drk3x5 1f 4 Calculate the period of oscillation.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretchtv /j*zf6 f/rdn 3umy;es the spring 2.0 cm downward. The mass is dr; /y3fftj u nz6m*/vthen pulled an additional distance of 1.0 cm down and released from rest. Calculate the total energy of the system.

  A 0.30-kg mass is suspended on a spring. In equilibrium the mass stretches thedy 3(p0yldhx 1 spring 2.0 cm downward. The y hydx(p03l d1mass is then pulled an additional distance of 1.0 cm down and released from rest. Write down its equation of motion.

  An object in simple harmonic motion obeys the folloszy m+ 4t kwfjz6l7/4bwing position versus time equaz64y+ skbz wj4f/l m7ttion:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the amplitude of vibration?

  An object in simple harmonic motion obeys the followingqgs* 0m-i9ag l position versus time equatig* qgs0 ami9-lon:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the period of vibration?

  An object in simple harmonic motion obeys the following position rk tx; ao9.hu7versus time equa.rx9u to;h7kation:
$y = 0.50 \; \sin (\pi/2 \times t)$. What is the maximum speed of the object?

  A mass attached to the free end of a spring exna fvt5rfrs9. e qz-,8ecutes simple harmonic motion according to thezq .8 a-sftverf,9n r5 equation $y = 0.50 \; \sin (18\pi \times t)$ where y is in meters and t is seconds. What is the period of vibration?

A 1.5-kg mass attached to spring with a force constant of 20.0su )mcxtg60vel,( na-4 uv8le N/m oscillates on a horizontal, frictionless track. At t= 0nt) -,sl(a08 cu4mlex6uv veg, the mass is released from rest at x= 10.0 cm. (That is, the spring is stretched by 10.00 cm.)
(a) Determine the frequency of the oscillations.
(b) Determine the maximum speed of the mass. Where does the maximum speed occur?
(c) Determine the maximum acceleration of the mass. Where does the maximum acceleration occur?
(d) Determine the total energy of the oscillating system.
(e) Express the displacement as a function of time.

  A pendulum makes 12 complete swings in t ke 388;ftssf8.0 s. (a) What are its frequency and peris3t f s8kfte;8od on Earth?

  A 3.00-kg pendulum is 28.84 m zs h bn)h1l 61n9v)d g)yo.rwylong. What is its period on Earth?

  A pendulum has a period of 2.0 s on Earth. What is its length tnq:tw08m4fa?

  The pendulum of a grand8wr gsdy+;jb5father clock is 1.0 m long. What is its period on the Eag y85+b;j rsdwrth?

  The pendulum of a grandfather clock is 1.0 m long. Whatles1b le 66g3op mdp;a/f6k+h is its period on the Moon where the acceleration due to gravity iss6/ 3fk1mha;e+ lgldeopbp66 only $1.7 \; m/s^2$?

  A simple pendulum consists of a 0.25-kg spherical mast824zesp ljs y.i j)t:s attached to a massless string. When the mass is displaced slightly from its equilibrium position and released, the pendulum swings back and forth with a frequency of 2.0 Hz. What frequency would have resulted if a 0.50-kg mass (same diameter sphere) had been attached to the string inste:8yts2zi jej4t) ls. pad?

A simple pendulum consisting of a 20-g mass has initiv,sb, ,p3mjbw6/wb-kg ez3 agal angular displacement of 8.0e. Iw3k6g,,,3b eas b/pbgvj-mw zt oscillates with a period of 3.00 s.
(a) Determine the length of the pendulum.
(b) Does the period of the pendulum depend on the initial angular displacement?
(c) Does the period of the pendulum depend on the mass of the pendulum?
(d) Does the period of the pendulum depend on the length of the pendulum?
(e) Does the period of the pendulum depend on the acceleration due to gravity?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency o .f.y xiwjr qn0c;2lo:f the wave is 120 Hz. What f .2.xnqy0i :; cwrjolis the amplitude?

  Figure 11-2 is a "snapshot" of a wave at a given time. The frequency of theq ii;wb8*py;i :ev. pi wave is 120 Hz. What *yw;eqi i.; p8i:iv pbis the wavelength?

  Figure 11-2 is a "snapshot" of a wave at a gi9:k,(by6jtodx0 wdut9v hht8fh5 4wqven time. The frequency of the wave is 120 Hz ,t 9ukwqfh 5(dv49b0h8 :6 owtdhtxjy. What is the wave speed?

  What is the frequency of a wave whicemu/ jg //jfo+9el4 uhh has a period of 6.00 ms?

  What is the period of a wave with a frequency ofyd6jbj8 2f 1rbrd9uc.q34l ww 1500 Hz?

  What is the wave speed if a wave i.ooahkaepd(ag 3w5.jxc*ra4/dw: 49i *a ckhas a frequency of 12 Hz and a wavelength of 3.0doa4kahkaro wca4dwg:x/j *i*ca(..i e9 5p3 m?

  What is the velocity of a waviu9z7f-i -y1ab thathh; vp9l4gh: z ,e that has a wavelength of 3.0 m and a frequency of 12 H4t1faypglhui9- -z,h7 hz;thbva9: i z?

  What is the frequency ou) fzk2yjj93i f a 2.5 m wave traveling at 1400 m/s?

  A piano string of linear mass density 0.0050h3bn3 (q0xbukv. 5+ufdu 7:jr(lgfl m kg/m is under a tension of 1350 N. What ifqd( bulr7lh0xu : jn +5(vfg.um3bk3s the wave speed?

  A string of linear density 6.0 g/m is under a tension of 180 v /4fabinjkev 1/pt ryxc-7*t4xu7zvv ,wv +;N. What is the velocity of propagation of transverse wa 4tv/u,*1p wv 7a-z xkt7/bv yfrv xjv+;cien4ves along the string?

A wave whose wavelength is 0.500 m is travelumho s+y. n0b:rs ,mn;ing down a 500 m long wire whose total mass srns0; n:.y+o mmh,u bis
25.0 kg. The wire is under a tension of 2000 N.
(a) Determine the velocity of the wave on the wire.
(b) Determine the frequency of this wave.

  The velocity of propagation of a transverv7h+6 tzhn2 kqse wave on a 2.0-m long string fixed at both ends is 200 m/s. Which+nthh7z2q 6 kv one of the following is not a resonant frequency of this string?

  If a guitar string has a fundamental frequency of 500 Hz, which one of the f j x drd5 f5cdy6bql-/q.way45ollowing frequenla6r5 5qqfy dxdwjy 4 /5-dc.bcies can set the string into resonant vibration?

  A stretched string is observed to have four equal segments in a sta08vztbwbk.l8t)a/odx ;,8 b zvomlpn1: *puknding wave driven at a frequency of 480 Hz. What driving frequency will set lw l8va,:x0 k8 t */ n)u.dt 1mkpobopbb8;vzzup a standing wave with five equal segments?

  A string, fixed at both ends, vibrates at a freque(-7 afbl utjl/c v:i8zck4wh,ncy of 12 Hz with a standing transverse wave pattern containing 3 loops. What frequency is needed if the standing wacwz8vf / u-b,l la7:jkcih4(t ve pattern is to contain 4 loops?

  A string of linear density 1.5 g/m is under a tension of 20 N. What shoigjt *s3uk,ll 2sxx:njt -/+juld its length be if its fundamental resonan /nxsj*3sxjk2j, ilu-+g l:tt ce frequency is 220 Hz?

  Find the first three harmonics of a string of linear mass density 2.00 cqya;jsxva 1k 7-/0t0f6e md) gy c:kpwhu:,dg/m and length 0.600 m when itchagpxasky,vy/dfw u 0e:jcd1 7 ktm :q0);-6 is subjected to tension of 50.0 N.

A string of length 2.5 m is fi+g45b-l x cllnxed at both ends. When the string vibrates at a fregl4l ln x+5c-bquency of 85 Hz, a standing wave with five loops is formed.
(a) Determine the distance between two adjacent nodes.
(b) Determine the wavelength of the waves that travel on the string.
(c) Determine the velocity of waves.
(d) Determine the fundamental frequency of this string.